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Finding the Fourth Proportional to 22,778.52, 31,434.41 and 12,706.71

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Solution

The fourth proportional to 22,778.52, 31,434.41 and 12,706.71 is: 17,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.52 : 31,434.41 = 12,706.71 : x
  2. Step 2: Convert to fraction form
    22,778.52/31,434.41 = 12,706.71/x
  3. Step 3: Cross multiply
    22,778.52x = 31,434.41 × 12,706.71
  4. Step 4: Simplify right side
    22,778.52x = 399,427,868.36
  5. Step 5: Solve for x
    x = 399,427,868.36/22,778.52
  6. Step 6: Final answer
    x = 17,535.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.